{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "x=np.random.uniform(-3.0,3.0,size=100)\n",
    "X=x.reshape(-1,1)\n",
    "y=0.5*x+3+np.random.normal(0,1,size=100)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(x,y)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2808867.5727422303"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.pipeline import Pipeline\n",
    "from sklearn.preprocessing import StandardScaler\n",
    "from sklearn.preprocessing import PolynomialFeatures\n",
    "from sklearn.linear_model import LinearRegression\n",
    "def Poly_reg(degree):\n",
    "    return Pipeline([\n",
    "        (\"poly\",PolynomialFeatures(degree)),\n",
    "        (\"std_scaler\",StandardScaler()),\n",
    "        (\"linear\",LinearRegression())\n",
    "        \n",
    "    ])\n",
    "from sklearn.model_selection import train_test_split\n",
    "X_train,X_test,y_train,y_test=train_test_split(X,y,test_size=0.2)\n",
    "\"\"\"使用degree=60进行拟合\"\"\"\n",
    "from sklearn.metrics import mean_squared_error\n",
    "Poly_reg0=Poly_reg(degree=60)\n",
    "Poly_reg0.fit(X_train,y_train)\n",
    "y_poly_predict=Poly_reg0.predict(X_test)\n",
    "mean_squared_error(y_test,y_poly_predict)#数很大，过拟合"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "\"\"\"封装一个绘图函数\"\"\"\n",
    "def plot_model(model):\n",
    "    x_plot=np.linspace(-3,3,100).reshape(100,1)\n",
    "    y_plot=model.predict(x_plot)\n",
    "    plt.axis([-3,3,0,6])\n",
    "    plt.scatter(x,y)\n",
    "    plt.plot(x_plot[:,0],y_plot,color=\"r\")\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_model(Poly_reg0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "LASSO"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.linear_model import Lasso\n",
    "def Lasso_Regression(degree,alpha):\n",
    "    return Pipeline([\n",
    "        (\"poly\",PolynomialFeatures(degree=degree)),\n",
    "        (\"std_scaler\",StandardScaler()),\n",
    "        (\"lasso\",Lasso(alpha=alpha))\n",
    "    ])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.0538649945911849"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lasso1_reg=Lasso_Regression(60,0.01)\n",
    "lasso1_reg.fit(X_train,y_train)\n",
    "y_predict=lasso1_reg.predict(X_test)\n",
    "mean_squared_error(y_test,y_predict)#泛化能力加强"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_model(lasso1_reg)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.8171915516855497"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "\"\"\"使用alpha=0.1\"\"\"\n",
    "lasso2_reg=Lasso_Regression(60,0.1)\n",
    "lasso2_reg.fit(X_train,y_train)\n",
    "y_predict=lasso2_reg.predict(X_test)\n",
    "mean_squared_error(y_test,y_predict)#泛化能力再次加强"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_model(lasso2_reg)#曲线更平滑"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.2028317932003294"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "\"\"\"alpha=100\"\"\"\n",
    "lasso3_reg=Lasso_Regression(60,100)\n",
    "lasso3_reg.fit(X_train,y_train)\n",
    "y_predict=lasso3_reg.predict(X_test)\n",
    "mean_squared_error(y_test,y_predict)#线平了，过度正则化"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_model(lasso3_reg)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
